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Finding the Fourth Proportional to 685,698.56, 946,363.20 and 383,912

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Solution

The fourth proportional to 685,698.56, 946,363.20 and 383,912 is: 529,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,698.56 : 946,363.20 = 383,912 : x
  2. Step 2: Convert to fraction form
    685,698.56/946,363.20 = 383,912/x
  3. Step 3: Cross multiply
    685,698.56x = 946,363.20 × 383,912
  4. Step 4: Simplify right side
    685,698.56x = 363,320,188,838.40
  5. Step 5: Solve for x
    x = 363,320,188,838.40/685,698.56
  6. Step 6: Final answer
    x = 529,854.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.